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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: x1 ∈ int.
Let x2 of type ι be given.
Assume H1: x2 ∈ int.
Let x3 of type ι be given.
Assume H2: x3 ∈ int.
Assume H3: divides_int x0 (add_SNo x2 (minus_SNo x3)).
Apply add_SNo_com with x1, x2, λ x4 x5 . divides_int x0 x5 ⟶ divides_int x0 (add_SNo x1 x3) leaving 3 subgoals.
Apply int_SNo with x1.
The subproof is completed by applying H0.
Apply int_SNo with x2.
The subproof is completed by applying H1.
Apply add_SNo_com with x1, x3, λ x4 x5 . divides_int x0 (add_SNo x2 x1) ⟶ divides_int x0 x5 leaving 3 subgoals.
Apply int_SNo with x1.
The subproof is completed by applying H0.
Apply int_SNo with x3.
The subproof is completed by applying H2.
Apply unknownprop_82d8b16cbabe15f33566315da037f391b292861be9631cc7d9815c42bac38696 with x0, x3, x2, x1 leaving 4 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H1.
The subproof is completed by applying H0.
Apply divides_int_diff_SNo_rev with x0, x2, x3 leaving 3 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
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